pawn to e4 was my initiating move in the state final trust game the tournament
state final trust game the tournament
state final trust game the tournament winner would be crowned Duke or Duchess
winner would be crowned Duke or Duchess
winner would be crowned Duke or Duchess a pre elementary school chess the game
a pre elementary school chess the game
a pre elementary school chess the game intensified Bishop to e5 rook to h7
intensified Bishop to e5 rook to h7
intensified Bishop to e5 rook to h7 Queen to d8 checkmate trust is an
Queen to d8 checkmate trust is an
Queen to d8 checkmate trust is an intellectual sport one that challenges
intellectual sport one that challenges
intellectual sport one that challenges Minds players memorized openings
Minds players memorized openings
Minds players memorized openings attempting to get into the thoughts of
attempting to get into the thoughts of
attempting to get into the thoughts of their opponents and then try to identify
their opponents and then try to identify
their opponents and then try to identify a pattern crucial for victory during
a pattern crucial for victory during
a pattern crucial for victory during that fateful game I found the pattern
that fateful game I found the pattern
that fateful game I found the pattern first ever since I was little I’ve
first ever since I was little I’ve
first ever since I was little I’ve reduced complex systems to their
reduced complex systems to their
reduced complex systems to their simplest forms this may not be an
simplest forms this may not be an
simplest forms this may not be an obvious talent like playing the violin
obvious talent like playing the violin
obvious talent like playing the violin but as the way my mind works
but as the way my mind works
but as the way my mind works it lets me make other make connections
it lets me make other make connections
it lets me make other make connections that many other people often cannot for
that many other people often cannot for
that many other people often cannot for example I’ve recognized patterns while
example I’ve recognized patterns while
example I’ve recognized patterns while playing basketball a player’s futures
playing basketball a player’s futures
playing basketball a player’s futures position in relation to mine the
position in relation to mine the
position in relation to mine the repeating nature of a called play an
repeating nature of a called play an
repeating nature of a called play an intercepted basketball from its path and
intercepted basketball from its path and
intercepted basketball from its path and the classroom out studying the Fibonacci
the classroom out studying the Fibonacci
the classroom out studying the Fibonacci series I started noticing how patterns
series I started noticing how patterns
series I started noticing how patterns can be cleanly expressed through
can be cleanly expressed through
can be cleanly expressed through mathematics 1 1 2 3 5 and so on the
mathematics 1 1 2 3 5 and so on the
mathematics 1 1 2 3 5 and so on the pattern here is that each subsequent
pattern here is that each subsequent
pattern here is that each subsequent number is the sum of the two before
number is the sum of the two before
number is the sum of the two before clearly in high school I began
clearly in high school I began
clearly in high school I began understanding how mathematics is
understanding how mathematics is
understanding how mathematics is synonymous with assigns patterns a
synonymous with assigns patterns a
synonymous with assigns patterns a collection of everyday out everyday
collection of everyday out everyday
collection of everyday out everyday algorithms with everyday applications
algorithms with everyday applications
algorithms with everyday applications derivatives a simple repeating pattern
derivatives a simple repeating pattern
derivatives a simple repeating pattern of the power quotient and chain rules
of the power quotient and chain rules
of the power quotient and chain rules help me solve for the average rate in
help me solve for the average rate in
help me solve for the average rate in kinetics problems the geometric series
kinetics problems the geometric series
kinetics problems the geometric series helped produce the spending multiplier
helped produce the spending multiplier
helped produce the spending multiplier equation within macroeconomics through
equation within macroeconomics through
equation within macroeconomics through mathematics I began to see that there
mathematics I began to see that there
mathematics I began to see that there was a pattern and everything a few years
was a pattern and everything a few years
was a pattern and everything a few years ago when I was in upstate New York a
ago when I was in upstate New York a
ago when I was in upstate New York a butterfly landed on my arm the butterfly
butterfly landed on my arm the butterfly
butterfly landed on my arm the butterfly flaunted its wings as if it was trying
flaunted its wings as if it was trying
flaunted its wings as if it was trying to woo me it did the blue dot on the
to woo me it did the blue dot on the
to woo me it did the blue dot on the Left mirrored the one on the right the
Left mirrored the one on the right the
Left mirrored the one on the right the royal purple seemed to be committed with
royal purple seemed to be committed with
royal purple seemed to be committed with in command with its powerful voice the
in command with its powerful voice the
in command with its powerful voice the hint of green on the tip of each wing
hint of green on the tip of each wing
hint of green on the tip of each wing displayed the butterfly’s wealth its
displayed the butterfly’s wealth its
displayed the butterfly’s wealth its wings were beautiful it had symmetry and
wings were beautiful it had symmetry and
wings were beautiful it had symmetry and had patterns when my friends took me
had patterns when my friends took me
had patterns when my friends took me surfing for the first time I look for
surfing for the first time I look for
surfing for the first time I look for the patterns in the waves out at sea
the patterns in the waves out at sea
the patterns in the waves out at sea waves tend to be chaotic but when they
waves tend to be chaotic but when they
waves tend to be chaotic but when they reach land they form sets of repeating
reach land they form sets of repeating
reach land they form sets of repeating waves
waves
waves the old time for a surfer to catch that
the old time for a surfer to catch that
the old time for a surfer to catch that gnarly wave I waited for the set one
gnarly wave I waited for the set one
gnarly wave I waited for the set one friend took off in the first wave the
friend took off in the first wave the
friend took off in the first wave the eyestrain caught the second one the
eyestrain caught the second one the
eyestrain caught the second one the third wave was mine
third wave was mine
third wave was mine I began paddling hard stroke one stroke
I began paddling hard stroke one stroke
I began paddling hard stroke one stroke to stroke five stroke nine the wave grew
to stroke five stroke nine the wave grew
to stroke five stroke nine the wave grew in size I thought to myself keep
in size I thought to myself keep
in size I thought to myself keep paddling you can do this one stroke
paddling you can do this one stroke
paddling you can do this one stroke after another almost there now get up on
after another almost there now get up on
after another almost there now get up on the board I couldn’t do it I felt out of
the board I couldn’t do it I felt out of
the board I couldn’t do it I felt out of tune I cannot keep enough to the
tune I cannot keep enough to the
tune I cannot keep enough to the patterns of my stroke I bailed but now
patterns of my stroke I bailed but now
patterns of my stroke I bailed but now let’s see if we can try to create our
let’s see if we can try to create our
let’s see if we can try to create our own pattern can everyone do me a favor
own pattern can everyone do me a favor
own pattern can everyone do me a favor and synchronize your clapping
alright so the point here is that
alright so the point here is that everyone’s claps began to synchronize
everyone’s claps began to synchronize
everyone’s claps began to synchronize after some time it actually didn’t occur
after some time it actually didn’t occur
after some time it actually didn’t occur to me that you’re going to increase your
to me that you’re going to increase your
to me that you’re going to increase your frequency which was also the same
frequency which was also the same
frequency which was also the same occurrence that was done by Steven
occurrence that was done by Steven
occurrence that was done by Steven Strogatz of Cornell University an
Strogatz of Cornell University an
Strogatz of Cornell University an academic who inspired my research on the
academic who inspired my research on the
academic who inspired my research on the pattern of synchronization
pattern of synchronization
pattern of synchronization synchronization is the operation of two
synchronization is the operation of two
synchronization is the operation of two or more things occurring at the same
or more things occurring at the same
or more things occurring at the same time array it is how distinct systems
time array it is how distinct systems
time array it is how distinct systems can look coordinated behavior to act as
can look coordinated behavior to act as
can look coordinated behavior to act as one uniform whole synchronization
one uniform whole synchronization
one uniform whole synchronization creates a source of order within the
creates a source of order within the
creates a source of order within the complexity of everyday life each
complexity of everyday life each
complexity of everyday life each individual has an internal system that
individual has an internal system that
individual has an internal system that can lock with one another if the
can lock with one another if the
can lock with one another if the attraction reaches a certain point of
attraction reaches a certain point of
attraction reaches a certain point of strength allowing the two to coordinate
strength allowing the two to coordinate
strength allowing the two to coordinate in unison the natural tendencies for
in unison the natural tendencies for
in unison the natural tendencies for single oscillators to synchronize can be
single oscillators to synchronize can be
single oscillators to synchronize can be egg nematic but it’s also quite an
egg nematic but it’s also quite an
egg nematic but it’s also quite an abundant in nature think of a planet as
abundant in nature think of a planet as
abundant in nature think of a planet as it rotates around the Sun in this case
it rotates around the Sun in this case
it rotates around the Sun in this case the planet is considered an oscillator
the planet is considered an oscillator
the planet is considered an oscillator understanding the core of
understanding the core of
understanding the core of synchronization in its applications may
synchronization in its applications may
synchronization in its applications may help us make a better understand a world
help us make a better understand a world
help us make a better understand a world that is increasingly complex within
that is increasingly complex within
that is increasingly complex within nature synchronization is ubiquitous it
nature synchronization is ubiquitous it
nature synchronization is ubiquitous it can occur among gatherings of animals
can occur among gatherings of animals
can occur among gatherings of animals such as starlings herring and fireflies
such as starlings herring and fireflies
such as starlings herring and fireflies in a school of fish there are few rules
in a school of fish there are few rules
in a school of fish there are few rules that create synchrony first the
that create synchrony first the
that create synchrony first the creatures are only aware of their
creatures are only aware of their
creatures are only aware of their nearest neighbors second the creatures
nearest neighbors second the creatures
nearest neighbors second the creatures line up in one direction third they are
line up in one direction third they are
line up in one direction third they are attracted to one another but maintain a
attracted to one another but maintain a
attracted to one another but maintain a certain distance between them these
certain distance between them these
certain distance between them these three rules were to create near perfect
three rules were to create near perfect
three rules were to create near perfect synchronization between creatures
synchronization between creatures
synchronization between creatures however when a predator comes a
however when a predator comes a
however when a predator comes a disruption occurs and fish tend to be
disruption occurs and fish tend to be
disruption occurs and fish tend to be chaotic but eventually they’ll resync
chaotic but eventually they’ll resync
chaotic but eventually they’ll resync the same goes for a flock of birds
the same goes for a flock of birds
the same goes for a flock of birds inanimate objects have a different way
inanimate objects have a different way
inanimate objects have a different way of synchronizing these objects have
of synchronizing these objects have
of synchronizing these objects have coupled oscillators that interact with
coupled oscillators that interact with
coupled oscillators that interact with each other to synchronize the attraction
each other to synchronize the attraction
each other to synchronize the attraction between oscillators are called couple
between oscillators are called couple
between oscillators are called couple forces couple forces are when the force
forces couple forces are when the force
forces couple forces are when the force one oscillator interacts with a force of
one oscillator interacts with a force of
one oscillator interacts with a force of another interacting by internal wall
another interacting by internal wall
another interacting by internal wall vibrations pendulum clocks will become
vibrations pendulum clocks will become
vibrations pendulum clocks will become uniformly rhythmic within a certain
uniformly rhythmic within a certain
uniformly rhythmic within a certain amount of time in this case both
amount of time in this case both
amount of time in this case both oscillators are able to synchronize so
oscillators are able to synchronize so
oscillators are able to synchronize so that it matches the other becoming a
that it matches the other becoming a
that it matches the other becoming a coupled oscillator within our body and
coupled oscillator within our body and
coupled oscillator within our body and even brain cells mathematicians and
even brain cells mathematicians and
even brain cells mathematicians and physicists are continuing to discover
physicists are continuing to discover
physicists are continuing to discover different oscillator
different oscillator
different oscillator systems contrast to the nearest neighbor
systems contrast to the nearest neighbor
systems contrast to the nearest neighbor interactions that occur in a school of
interactions that occur in a school of
interactions that occur in a school of fish or a flock of birds cells in a
fish or a flock of birds cells in a
fish or a flock of birds cells in a human body
human body
human body interact with every other similar cell
interact with every other similar cell
interact with every other similar cell also known as all – all interactions to
also known as all – all interactions to
also known as all – all interactions to illustrate human pace making cells
illustrate human pace making cells
illustrate human pace making cells interact in unison to create a
interact in unison to create a
interact in unison to create a senatorial node which is essential to
senatorial node which is essential to
senatorial node which is essential to the synchronization of the heartbeat and
the synchronization of the heartbeat and
the synchronization of the heartbeat and to keep us alive within cognitive
to keep us alive within cognitive
to keep us alive within cognitive science neural oscillations that
science neural oscillations that
science neural oscillations that resemble uncouple and D synchronized
resemble uncouple and D synchronized
resemble uncouple and D synchronized states are seen in victims with dementia
states are seen in victims with dementia
states are seen in victims with dementia beginning to understand the significance
beginning to understand the significance
beginning to understand the significance of synchronization led me to ponder a
of synchronization led me to ponder a
of synchronization led me to ponder a couple of questions what are the
couple of questions what are the
couple of questions what are the underlining principles that caused this
underlining principles that caused this
underlining principles that caused this wonderment of collective behavior can
wonderment of collective behavior can
wonderment of collective behavior can understanding synchronization and
understanding synchronization and
understanding synchronization and collective behavior help discover the
collective behavior help discover the
collective behavior help discover the workings of some complex systems that
workings of some complex systems that
workings of some complex systems that once seemed unfathomable for instance
once seemed unfathomable for instance
once seemed unfathomable for instance and defying a pattern help explain how
and defying a pattern help explain how
and defying a pattern help explain how galaxies interact or is the universe
galaxies interact or is the universe
galaxies interact or is the universe expanding at random curious I began
expanding at random curious I began
expanding at random curious I began doing some research researchers have
doing some research researchers have
doing some research researchers have studied the underpinnings of
studied the underpinnings of
studied the underpinnings of synchronization and great death and many
synchronization and great death and many
synchronization and great death and many mathematical models were generated in
mathematical models were generated in
mathematical models were generated in temps to confirm this phenomenon using
temps to confirm this phenomenon using
temps to confirm this phenomenon using these models researchers have been
these models researchers have been
these models researchers have been analyzing nonlinear interactions and
analyzing nonlinear interactions and
analyzing nonlinear interactions and their relation to the connection of
their relation to the connection of
their relation to the connection of oscillators a nonlinear system is a
oscillators a nonlinear system is a
oscillators a nonlinear system is a system in which the output and input are
system in which the output and input are
system in which the output and input are not directly proportional to each other
not directly proportional to each other
not directly proportional to each other in other words the output of the system
in other words the output of the system
in other words the output of the system can be unpredictable to the given input
can be unpredictable to the given input
can be unpredictable to the given input for my research I chose to study the
for my research I chose to study the
for my research I chose to study the cure modal model a mathematical model
cure modal model a mathematical model
cure modal model a mathematical model that allows for more exact and less
that allows for more exact and less
that allows for more exact and less chaotic solutions the cure modal
chaotic solutions the cure modal
chaotic solutions the cure modal equation represents all – all oscillator
equation represents all – all oscillator
equation represents all – all oscillator interactions I’ve seen in many and not
interactions I’ve seen in many and not
interactions I’ve seen in many and not many objects and biological systems this
many objects and biological systems this
many objects and biological systems this equation is the cure modal model in its
equation is the cure modal model in its
equation is the cure modal model in its most general form many of you are
most general form many of you are
most general form many of you are probably thinking how the heck is that
probably thinking how the heck is that
probably thinking how the heck is that simplified don’t work try not to bore
simplified don’t work try not to bore
simplified don’t work try not to bore you with too many mathematical details
you with too many mathematical details
you with too many mathematical details we began my research I quickly found a
we began my research I quickly found a
we began my research I quickly found a pattern to visualise imagine three
pattern to visualise imagine three
pattern to visualise imagine three pendulums as oscillators that are
pendulums as oscillators that are
pendulums as oscillators that are separated equidistantly for each number
separated equidistantly for each number
separated equidistantly for each number of pendulums I found that no matter what
of pendulums I found that no matter what
of pendulums I found that no matter what the frequencies are the cling strength
the frequencies are the cling strength
the frequencies are the cling strength will be the same frequencies is the
will be the same frequencies is the
will be the same frequencies is the number of oscillators oscillations per
number of oscillators oscillations per
number of oscillators oscillations per second the coupling strength establishes
second the coupling strength establishes
second the coupling strength establishes the fourth is attraction between the
the fourth is attraction between the
the fourth is attraction between the pendulums ultimately causing them to
pendulums ultimately causing them to
pendulums ultimately causing them to synchronize for three pendulums
synchronize for three pendulums
synchronize for three pendulums the increasing coupling strength for
the increasing coupling strength for
the increasing coupling strength for each increase in frequency distance is
each increase in frequency distance is
each increase in frequency distance is point one seven upon identifying this
point one seven upon identifying this
point one seven upon identifying this mathematical pattern I knew there had to
mathematical pattern I knew there had to
mathematical pattern I knew there had to be some sort of relationship I became
be some sort of relationship I became
be some sort of relationship I became eager to find out more after deriving
eager to find out more after deriving
eager to find out more after deriving equations maximizing functions in
equations maximizing functions in
equations maximizing functions in manipulating other calculus computations
manipulating other calculus computations
manipulating other calculus computations I had finally found a pattern between
I had finally found a pattern between
I had finally found a pattern between the number of oscillators and coupling
the number of oscillators and coupling
the number of oscillators and coupling strengths needed for a system of
strengths needed for a system of
strengths needed for a system of all-to-all interactions to become
all-to-all interactions to become
all-to-all interactions to become synchronized this is the equation I
synchronized this is the equation I
synchronized this is the equation I produced graphing the relationship
produced graphing the relationship
produced graphing the relationship between the calculated coupling strength
between the calculated coupling strength
between the calculated coupling strength and the laters for also all interaction
and the laters for also all interaction
and the laters for also all interaction I noted the coupling strengths needed
I noted the coupling strengths needed
I noted the coupling strengths needed for a system to become is a horizontal
for a system to become is a horizontal
for a system to become is a horizontal asymptote of 2 over pi this was by Kerr
asymptote of 2 over pi this was by Kerr
asymptote of 2 over pi this was by Kerr Emoto himself for the nearest neighbor
Emoto himself for the nearest neighbor
Emoto himself for the nearest neighbor interactions or the interactions done by
interactions or the interactions done by
interactions or the interactions done by school of fish or a flock of birds I
school of fish or a flock of birds I
school of fish or a flock of birds I found that as more oscillators or more
found that as more oscillators or more
found that as more oscillators or more fish enter a system the coupling
fish enter a system the coupling
fish enter a system the coupling strengths needed for that system to
strengths needed for that system to
strengths needed for that system to synchronize becomes increased as the
synchronize becomes increased as the
synchronize becomes increased as the number of oscillators or fish approaches
number of oscillators or fish approaches
number of oscillators or fish approaches infinity secret occur the date my
infinity secret occur the date my
infinity secret occur the date my research and it’s pattern to the
research and it’s pattern to the
research and it’s pattern to the question proposed earlier on whether
question proposed earlier on whether
question proposed earlier on whether synchrony and collective behavior can
synchrony and collective behavior can
synchrony and collective behavior can help discover the workings of some
help discover the workings of some
help discover the workings of some complex systems I believe that it can
complex systems I believe that it can
complex systems I believe that it can within Conant assign synchronization is
within Conant assign synchronization is
within Conant assign synchronization is present with an epilepsy and a
present with an epilepsy and a
present with an epilepsy and a hyperactive state can be an onset of a
hyperactive state can be an onset of a
hyperactive state can be an onset of a seizure to solve this hyperactive state
seizure to solve this hyperactive state
seizure to solve this hyperactive state can implantable chip that detects the
can implantable chip that detects the
can implantable chip that detects the onset of hyper hyper synchronization be
onset of hyper hyper synchronization be
onset of hyper hyper synchronization be invented maybe so can my equation be
invented maybe so can my equation be
invented maybe so can my equation be proved beneficial in the invention of
proved beneficial in the invention of
proved beneficial in the invention of this chip possibly hypothetically once
this chip possibly hypothetically once
this chip possibly hypothetically once the chip identifies that the coupling
the chip identifies that the coupling
the chip identifies that the coupling strength is approaching the critical
strength is approaching the critical
strength is approaching the critical point of hyper synchronization it would
point of hyper synchronization it would
point of hyper synchronization it would shock the brain out of this lock state D
shock the brain out of this lock state D
shock the brain out of this lock state D synchronizing it in addition this chip
synchronizing it in addition this chip
synchronizing it in addition this chip could help pass implantable chips and
could help pass implantable chips and
could help pass implantable chips and different medical fields such as
Parkinson’s disease all in all the
Parkinson’s disease all in all the pattern of synchronization affords me a
pattern of synchronization affords me a
pattern of synchronization affords me a sense of unification and understanding
sense of unification and understanding
sense of unification and understanding in a world once seeming so complex
in a world once seeming so complex
in a world once seeming so complex and chaotic I can finally accept the
and chaotic I can finally accept the
and chaotic I can finally accept the idea of how even the most bewildering
idea of how even the most bewildering
idea of how even the most bewildering relationships could be solved through a
relationships could be solved through a
relationships could be solved through a simplistic system of patterns from what
simplistic system of patterns from what
simplistic system of patterns from what you have learned today I want you to
you have learned today I want you to
you have learned today I want you to remember one thing there is a pattern
remember one thing there is a pattern
remember one thing there is a pattern and everything synchronization is my
and everything synchronization is my
and everything synchronization is my pattern what is yours
pattern what is yours
pattern what is yours thank you
thank you
thank you [Music]
”
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